Application of the Localization Method to Stability Analysis and Construction of Lyapunov Functions

被引：0
|
作者：
Krishchenko, Alexander P. [1 ,2 ]
Golubev, Alexey E. [2 ]
机构：
[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Inst Syst Anal, Ul Vavilova 44,K-2, Moscow, Russia
[2] BMSTU, Dept Math Modeling, 2 Ya Baumansakaya Str,5, Moscow 105005, Russia
来源：
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
关键词：
Lyapunov methods; Stability of nonlinear systems; Application of nonlinear analysis and design; INVARIANT COMPACT-SETS; DYNAMICAL-SYSTEMS; DISCRETE-SYSTEMS; PERIODIC-ORBITS; EQUATIONS;
D O I：
10.1016/j.ifacol.2017.08.1063
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper deals with asymptotic stability criteria for equilibrium points of nonlinear autonomous systems formulated in terms of compact invariant sets and positively invariant sets. To verify these criteria the functional method of compact invariant sets localization is used. The obtained results can be applied to show the asymptotic stability property in critical cases and to construct a Lyapunov function if the equilibrium point is (globally) asymptotically stable. The theoretical results are illustrated by examples. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
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页码：7475 / 7480
页数：6
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